Search a number
-
+
49050857664 = 263414516521
BaseRepresentation
bin101101101011101010…
…001011000011000000
311200121102211202010000
4231223222023003000
51300424004421124
634311134040000
73354345260634
oct555352130300
9150542752100
1049050857664
1119890a263a6
12960b049000
13481922b443
142534660dc4
1514213ac6c9
hexb6ba8b0c0

49050857664 has 140 divisors (see below), whose sum is σ = 145524629448. Its totient is φ = 16336512000.

The previous prime is 49050857659. The next prime is 49050857683. The reversal of 49050857664 is 46675805094.

49050857664 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 0 + 8 + 576 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49050857664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7518724 + ... + 7525244.

Almost surely, 249050857664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49050857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72762314724).

49050857664 is an abundant number, since it is smaller than the sum of its proper divisors (96473771784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49050857664 is a wasteful number, since it uses less digits than its factorization.

49050857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 49050857664 in words is "forty-nine billion, fifty million, eight hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1451 1728 2592 2902 4353 5184 5804 6521 8706 11608 13042 13059 17412 19563 23216 26084 26118 34824 39126 39177 46432 52168 52236 58689 69648 78252 78354 92864 104336 104472 117378 117531 139296 156504 156708 176067 208672 208944 234756 235062 278592 313008 313416 352134 417344 417888 469512 470124 528201 626016 626832 704268 835776 939024 940248 1056402 1252032 1253664 1408536 1878048 1880496 2112804 2507328 2817072 3756096 3760992 4225608 5634144 7521984 8451216 9461971 11268288 16902432 18923942 28385913 33804864 37847884 56771826 75695768 85157739 113543652 151391536 170315478 227087304 255473217 302783072 340630956 454174608 510946434 605566144 681261912 766419651 908349216 1021892868 1362523824 1532839302 1816698432 2043785736 2725047648 3065678604 4087571472 5450095296 6131357208 8175142944 12262714416 16350285888 24525428832 49050857664